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A continued fraction linear lower bound of research and types of proxy signature scheme design

Author: ZhangHui
Tutor: YuXiuYuan
School: Hangzhou Normal University
Course: Applied Mathematics
Keywords: Continued fraction Linear type Lower bound Identity-based Forward Security Proxy multi-signature
CLC: TN918.1
Type: Master's thesis
Year: 2010
Downloads: 15
Quote: 0
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Abstract


This article consists of a study conducted by the integer power - element linear lower bound of the continued fraction , and several types of proxy signature scheme , the following results : 1 ) For any positive integer column { An } and rational numbers x , defined with the continued fraction function gives | ^ | = | β1f1 β2f2 alpha | lower bound estimate , y1 = y ( x1 ) , y2 = y ( x2 ) , x1 , x2 is a positive integer , alpha , beta1 , beta2 algebraic number . 2 ) a specified receiver proxy signature scheme security analysis , found that due to the presence of a hanging solitary factor , it is unsafe and can not resist the internal forgery attacks , more attacks improvement program , the analysis showed that , improved after the program is safe. 3 ) on the elliptic curve bilinear nature -based designated-verifier signature and proxy signature ideas, a new identity-based designated-verifier proxy signature scheme , and security analysis show that the scheme is safe. 4 ) combined with the nomination of ideas and proxy multi-signature theory to construct a new class of proxy multi- signature scheme based on Forward secure the nomination , while the security of the scheme were analyzed to show that the scheme is safe .

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
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